What is the Greatest Common Factor of 27108 and 27120?

Greatest common factor (GCF) of 27108 and 27120 is 12.

GCF(27108,27120) = 12

We will now calculate the prime factors of 27108 and 27120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27108 and 27120.

How to find the GCF of 27108 and 27120?

We will first find the prime factorization of 27108 and 27120. After we will calculate the factors of 27108 and 27120 and find the biggest common factor number .

Step-1: Prime Factorization of 27108

Prime factors of 27108 are 2, 3, 251. Prime factorization of 27108 in exponential form is:

27108 = 2² × 3³ × 251¹

Step-2: Prime Factorization of 27120

Prime factors of 27120 are 2, 3, 5, 113. Prime factorization of 27120 in exponential form is:

27120 = 2⁴ × 3¹ × 5¹ × 113¹

Step-3: Factors of 27108

List of positive integer factors of 27108 that divides 27108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 6777, 9036, 13554

Step-4: Factors of 27120

List of positive integer factors of 27120 that divides 27108 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 113, 120, 226, 240, 339, 452, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 4520, 5424, 6780, 9040, 13560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27108 and 27120. The biggest common factor number is the GCF number.
So the greatest common factor 27108 and 27120 is 12.

Also check out the Least Common Multiple of 27108 and 27120